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Finding the Fourth Proportional to 80,538.57, 111,135.11 and 47,024.01

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Solution

The fourth proportional to 80,538.57, 111,135.11 and 47,024.01 is: 64,888.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,538.57 : 111,135.11 = 47,024.01 : x
  2. Step 2: Convert to fraction form
    80,538.57/111,135.11 = 47,024.01/x
  3. Step 3: Cross multiply
    80,538.57x = 111,135.11 × 47,024.01
  4. Step 4: Simplify right side
    80,538.57x = 5,226,018,288.87
  5. Step 5: Solve for x
    x = 5,226,018,288.87/80,538.57
  6. Step 6: Final answer
    x = 64,888.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.